What is the inverse of f(x)=((3x+2))/(2x-1) ?

The inverse of f(x)=((3x+2))/(2x-1) is (2+x)/(2x-3)

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inverse of f(x)=((3x+2))/(2x-1)

inverse

f (x) = \frac{( 3 x + 2 )}{2 x - 1}

\frac{2 + x}{2 x - 3}

Solution steps

y = \frac{3 x + 2}{2 x - 1}

Replace

x

with

y

x = \frac{3 y + 2}{2 y - 1}

Solve for

y, x = \frac{3 y + 2}{2 y - 1}

\frac{2 + x}{2 x - 3}

What is the inverse of f(x)=((3x+2))/(2x-1) ?
The inverse of f(x)=((3x+2))/(2x-1) is (2+x)/(2x-3)